cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A331017 Numbers that equal to the sum of their iterated absolute alternating sum-of-divisors function (A206369).

This page as a plain text file.
%I A331017 #4 Jan 06 2020 20:34:11
%S A331017 3,10,21,63,104,152,170,358,567,651,3826,4664,5583,5943,39248,943228,
%T A331017 1906503,9166540,35702868,701792828,825415941,2275142000,5805372939
%N A331017 Numbers that equal to the sum of their iterated absolute alternating sum-of-divisors function (A206369).
%e A331017 10 is a term since the iterations of A206369 with a starting value of 10 give A206369(10) = 4, A206369(4) = 3, A206369(3) = 2, and A206369(2) = 1, whose sum is 4 + 3 + 2 + 1 = 10.
%t A331017 f[p_, e_] := Sum[(-1)^(e - k)*p^k, {k, 0, e}]; s[1] = 1; s[n_] := s[n] = Times @@ (f @@@ FactorInteger[n]); Select[Range[1000], Plus @@ FixedPointList[s, #] == 2 # + 1 &]
%Y A331017 Cf. A082897, A206369, A330786 (number of iterations).
%K A331017 nonn,more
%O A331017 1,1
%A A331017 _Amiram Eldar_, Jan 06 2020